The \(1/N_c\)  expansion of the baryon axial current for \(N_c=3\) , or equivalently, retaining up to 3-body operators, is given by [1]}
\(A^{kc} = a_1 G^{kc} + \frac{1}{N_c} b_2 \mathcal {D}_2^{kc} + \frac{1}{N_c^2} b_3 \mathcal {D}_3^{kc} + \frac{1}{N_c^2} c_3 \mathcal {O}_3^{kc}, \) 
